Betting river big IMO is pretty thin, but smaller bet IMO would be perfect here - he's never x/raising with worse so you can comfortably fold if he decides to do so, but that's just so unlikely, so up to 1/2 river bet IMO is best.

In game I decided to checkback as I just don't see myself to be hero called here often enough with AA,AK for me to justify a valuebet. Villain might checks River with his entire range.

That is somewhat true, but that's why i think smaller size is best - villain is very unlikely to have a stronger hand (not your business if he's tortured with A Kx, that will not x/r, but sometimes will decide to call, so money to your stack - profit ), but i personally don't agree that villain would check his entire range on the river - he did bet flop 3-way, then turn again, you're not trapping with nuts most of the time, at the same time it's pretty obvious that it's not 7 7 you're calling him down with, so on such river i would personally be betting my houses with high freq. Of course that's not balanced as my river x range then becomes exploitable vs big bets/overbets, but i think i would already not be betting this turn without 2P+. Once again, i think you're afraid of x/r, but that's just not going to happen often as villain just doesn't have many strong hands that take this line - 1xQQ that mostly checks flop, 1xKK that just won't x river, 4xKQ that would also bet river since given it's blocking effect flush is your main hand by the river, so just bet smaller and move on

I would definatelly bet river. He doesnt have 22-55 in his range and even if he has them he would used bigger sizes postflop. He will call you with AA, AK and any Qx that is scared to bet because of the flush.

I'd raise the flop small, but call is more standard
Turn standard
River just bet. You can't check this back, that's so weird.

Ok, if you think he checks river 100%, then there are #5 or so fullhouses, and #5 or so nutflushes, and only #5 worse flushes, so you need him to "herocall" at least #5 AcA AcK type hands, which is thin.

But it's a pretty big assumption that he checks river 100% and has all nuts. First, he might check 100%, good spot for it, but he doesn't. Second he bet turn just 60%, which is really small for a set or KQ or AcTc. Third, he might obviously bet the river with strong hands.

While he will sometimes check stronger hands on the river, it is still a super clear value bet.

I'd raise the flop small, but call is more standard
Turn standard
River just bet.

Agree with the analysis (or rather have written something similar above myself ), but want to hear your thoughts on this

- about the flop raise - what's our plan/intention etc, here? (i mean i do see that we have TP/DecentK + 2NFD, but i for some reason wouldn't be raising pretty much ever)
- what size are you chosing for the river? I personally think 1/2 is just fine and should be somewhat best.

Value raise. We beat everything besides sets, and KK is blocked and 22 doesn't play UT all the time. We are only 50% in equity against AA AK KQ type hands, but we win more than 50% of the pot against them. And we absolutely crush other FDs.

So we don't want to start going crazy raising here purely for range balance purposes - we have a couple nutted hands (sets) and these huge draws+, but if we raise everything then it's curtains for our calling range, right?

I don't think perspective matters. Do what is max-EV in every hand and you are guaranteed max-EV over all hands. Slowplaying strong hands can be max-EV of course, but not for a reason like balance, but for a reason like "he barrels a lot when we call / he folds a lot to a raise" or similar.